In a class of 40 students, 22 are women, 10 are earning an A, and 7 are women that are earning an A. If a student is randomly selected from the class, find the probability that the student is a woman
Given that the student is earning an A.
A) $\frac { 7 } { 10 }$
B) $\frac { 7 } { 22 }$
C) $\frac { 11 } { 20 }$
D) $\frac { 5 } { 11 }$

Question

In a class of 40 students, 22 are women, 10 are earning an A, and 7 are women that are earning an A. If a student is randomly selected from the class, find the probability that the student is a woman
Given that the student is earning an A. 
A) $\frac { 7 } { 10 }$
B) $\frac { 7 } { 22 }$
C) $\frac { 11 } { 20 }$
D) $\frac { 5 } { 11 }$

Quizplus · Accepted Answer

The probability that a student is a woman given that the student is earning an A is calculated using the formula for conditional probability: P(A|B) = P(A and B) / P(B). Here, A is the event that a student is a woman, and B is the event that a student is earning an A. P(A and B) is the probability that a student is both a woman and earning an A, which is 7 out of the total 40 students, but since we're given that the student is earning an A, our total population for this calculation is the 10 students earning an A. Therefore, P(A|B) = 7/10.

In a Class of 40 Students, 22 Are Women, 10 710\frac { 7 } { 10 }107​

In a Class of 40 Students, 22 Are Women, 10 $\frac { 7 } { 10 }$